Dynamical behaviors of various multi-solutions to the (2+1)-dimensional Ito equation

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear higher-order PDEs (35G20) Soliton solutions (35C08)

Cites Work

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Extend three-wave method for the \((1+2)\)-dimensional Itô equation
Bilinear neural network method to obtain the exact analytical solutions of nonlinear partial differential equations and its application to p-gBKP equation
Interaction phenomena between a lump and other multi-solitons for the \((2+1)\)-dimensional BLMP and Itô equations
The inverse scattering transform and soliton solutions of a combined modified Korteweg-de Vries equation
Lump-type solutions and interaction solutions for the \((2+1)\)-dimensional generalized fifth-order KdV equation
Lump and lump-soliton solutions to the \({(2+1)}\)-dimensional Ito equation
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Lump solitons and the interaction phenomena of them for two classes of nonlinear evolution equations
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Dynamics of lump solitary wave of Kadomtsev-Petviashvili-Boussinesq-like equation
Lump-type solutions and lump solutions for the (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko equation
Localized excitations and interactional solutions for the reduced Maxwell-Bloch equations
Interaction phenomenon to (1+1)-dimensional Sharma-Tasso-Olver-Burgers equation
The lump solutions for the \((2+1)\)-dimensional Nizhnik-Novikov-Veselov equations
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Diversity of interaction solutions to the \((2+1)\)-dimensional ito equation
Fractal solitons, arbitrary function solutions, exact periodic wave and breathers for a nonlinear partial differential equation by using bilinear neural network method
An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
High-Order Lump-Type Solutions and Their Interaction Solutions to a (3+1)-Dimensional Nonlinear Evolution Equation*
Bäcklund transformation and some different types of N‐soliton solutions to the (3 + 1)‐dimensional generalized nonlinear evolution equation for the shallow‐water waves
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Three wave mixing effect in the (2+1)-dimensional Ito equation
Novel interaction phenomena of the (3+1)-dimensional Jimbo–Miwa equation
Dispersion-Managed Lump Waves in a Spatial Symmetric KP Model
Rogue wave solutions on different periodic backgrounds for the \((2+1)\)-dimensional Heisenberg ferromagnetic spin chain equation
Lump-type solution and breather lump-kink interaction phenomena to a \(( 3+1)\)-dimensional GBK equation based on trilinear form
Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types
Lump and lump-multi-kink solutions in the (3+1)-dimensions

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